State Preparation on Quantum Computers via Quantum Steering

Quantum computers present a compelling platform for the study of open quantum systems, namely the non-unitary dynamics of a system. Here, we investigate and report digital simulations of Markovian, non-unitary dynamics that converge to a unique steady state. The steady state is programmed as a desir...

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Bibliographic Details
Published in:IEEE transactions on quantum engineering 2024-01, Vol.5, p.1-14
Main Authors: Volya, Daniel, Mishra, Prabhat
Format: Article
Language:English
Subjects:
Benchmarking
Circuit design
Computational modeling
Convergence
Error correcting codes
Error correction
open quantum systems
Protocols
Quantum computers
Quantum computing
quantum control
Quantum entanglement
quantum measurement
Quantum state
quantum state preparation
quantum steering
Quantum system
Qubit
Qubits (quantum computing)
Steady state
Steering
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Summary:Quantum computers present a compelling platform for the study of open quantum systems, namely the non-unitary dynamics of a system. Here, we investigate and report digital simulations of Markovian, non-unitary dynamics that converge to a unique steady state. The steady state is programmed as a desired target state, yielding semblance to a quantum state preparation protocol. By delegating ancilla qubits and systems qubits, the system state is driven to the target state by repeatedly performing the following steps: (1) executing a designated system-ancilla entangling circuit, (2) measuring the ancilla qubits, and (3) re-initializing ancilla qubits to known states through active reset. While the ancilla qubits are measured and reinitialized to known states, the system qubits undergo a non-unitary evolution and are steered from arbitrary initial states to desired target states. We show results of the method by preparing arbitrary qubit states and qutrit (three-level) states on contemporary quantum computers. We also demonstrate that the state convergence can be accelerated by utilizing the readouts of the ancilla qubits to guide the protocol in a non-blind manner. Our work serves as a nontrivial example that incorporates and characterizes essential operations such as qubit reuse (qubit reset), entangling circuits, and measurement. These operations are not only vital for near-term noisy intermediate-scale quantum (NISQ) applications but are also crucial for realizing future error-correcting codes.
ISSN:2689-1808
2689-1808
DOI:10.1109/TQE.2024.3358193